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Finding the Fourth Proportional to 3,082.53, 4,257.54 and 2,086.08

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Solution

The fourth proportional to 3,082.53, 4,257.54 and 2,086.08 is: 2,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.53 : 4,257.54 = 2,086.08 : x
  2. Step 2: Convert to fraction form
    3,082.53/4,257.54 = 2,086.08/x
  3. Step 3: Cross multiply
    3,082.53x = 4,257.54 × 2,086.08
  4. Step 4: Simplify right side
    3,082.53x = 8,881,569.04
  5. Step 5: Solve for x
    x = 8,881,569.04/3,082.53
  6. Step 6: Final answer
    x = 2,881.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.